Answer:
a. 2nd quarter(9 goals)
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From the data given(for away goals):
- 1st quarter-2 goals
- 2nd quarter-9 goals
- 3rd quarter-7 goals
- 4th quarter-4 goals
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:
Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:
Hence, home games have 4 more goals than away games
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Below is the solution:
f(64) = log8 64
<span>= log8 8^2 </span>
<span>= 2 log8 8 </span>
<span>= 2</span>
Answer:
The roots of the quadratic equation are , .
Step-by-step explanation:
The roots of the quadratic equation are , .
Step-by-step explanation:
As given the equation in the form
Simplify the above equation
(x-2)-x = 3x × (x-2)
x-2 - x = 3x² - 6x
3x² - 6x + 2 = 0
As the equation is written in the form ax² + bx + c = 0
a = 3 , b = -6 , c = 2
Put all the values in the above equation
Thus
Therefore the roots of the quadratic equation are , .
Answer:
Step-by-step explanation:
The question asks you to graph the inequality
<em>The steps of drawing the inequality are the same steps of drawing the equation except the area of the solution</em>
→ The solution of the equation is just all the points lie on the line
→ The solution of the inequality is one of these cases:
- All the points on the line and on the area down the line if the inequality y ≤ ......
- All the points on the line and on the area over the line if the inequality y ≥ .......
- All the points on the area down the line if the inequality y < ......
- All the points on the area over the line if the inequality y > .......
∵ The inequality is 4x - 3y ≤ 6
∴ The equation of the line is 4x - 3y = 6
Your drawing is right, BUT you must shade the area over the line because the solution of the inequality is all the points on the line and over the line
The coefficient of y is -3 which means we will divide the sides of the inequality by a negative number, so sign the inequality must e reversed
I attached the figure of the inequality to show you the explanation above.
The red shaded is the area of the solution of the inequality.